Singularities in universes with negative cosmological constant

Details Singularities in universes with negative cosmological constant Singularities in universes with negative cosmological constant

Oct 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apj...209...12t&link_type=abstract

Astrophysical Journal, vol. 209, Oct. 1, 1976, pt. 1, p. 12-15.

Astronomy and Astrophysics

Astrophysics

11

Astronomical Models, Constants, Cosmology, Einstein Equations, Relativity, Singularity (Mathematics), Astrophysics, Galactic Evolution, Mass Distribution, Stress Tensors, Universe

Scientific paper

It is well known that many universes with negative cosmological constant contain singularities. This result is generalized by proving that all closed universes with negative cosmological constant are both future and past timelike geodesically incomplete if the strong energy condition holds. No global causality conditions or restrictions on the initial data are used in the proof. Furthermore, it is shown that all open universes with a Cauchy surface and a negative cosmological constant are singular if the strong energy condition holds.

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